Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3969,2,Mod(1,3969)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3969, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3969.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3969 = 3^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3969.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(31.6926245622\) |
Analytic rank: | \(1\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.574857.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 5x^{3} + 9x^{2} + 3x - 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.670333\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3969.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.670333 | −0.473997 | −0.236998 | − | 0.971510i | \(-0.576164\pi\) | ||||
−0.236998 | + | 0.971510i | \(0.576164\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.55065 | −0.775327 | ||||||||
\(5\) | 1.42494 | 0.637251 | 0.318626 | − | 0.947881i | \(-0.396779\pi\) | ||||
0.318626 | + | 0.947881i | \(0.396779\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.38012 | 0.841499 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.955182 | −0.302055 | ||||||||
\(11\) | 4.93077 | 1.48668 | 0.743342 | − | 0.668911i | \(-0.233239\pi\) | ||||
0.743342 | + | 0.668911i | \(0.233239\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.75460 | −0.763990 | −0.381995 | − | 0.924164i | \(-0.624763\pi\) | ||||
−0.381995 | + | 0.924164i | \(0.624763\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.50584 | 0.376459 | ||||||||
\(17\) | −1.11968 | −0.271562 | −0.135781 | − | 0.990739i | \(-0.543354\pi\) | ||||
−0.135781 | + | 0.990739i | \(0.543354\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.01505 | −0.921115 | −0.460557 | − | 0.887630i | \(-0.652350\pi\) | ||||
−0.460557 | + | 0.887630i | \(0.652350\pi\) | |||||||
\(20\) | −2.20958 | −0.494078 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.30526 | −0.704684 | ||||||||
\(23\) | −5.43661 | −1.13361 | −0.566806 | − | 0.823851i | \(-0.691821\pi\) | ||||
−0.566806 | + | 0.823851i | \(0.691821\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.96955 | −0.593911 | ||||||||
\(26\) | 1.84650 | 0.362129 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.81109 | 1.26479 | 0.632394 | − | 0.774647i | \(-0.282072\pi\) | ||||
0.632394 | + | 0.774647i | \(0.282072\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.50584 | −0.450061 | −0.225031 | − | 0.974352i | \(-0.572248\pi\) | ||||
−0.225031 | + | 0.974352i | \(0.572248\pi\) | |||||||
\(32\) | −5.76965 | −1.01994 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.750557 | 0.128719 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.41957 | −0.233376 | −0.116688 | − | 0.993169i | \(-0.537228\pi\) | ||||
−0.116688 | + | 0.993169i | \(0.537228\pi\) | |||||||
\(38\) | 2.69142 | 0.436605 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.39152 | 0.536247 | ||||||||
\(41\) | −0.248768 | −0.0388511 | −0.0194256 | − | 0.999811i | \(-0.506184\pi\) | ||||
−0.0194256 | + | 0.999811i | \(0.506184\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.996627 | 0.151984 | 0.0759921 | − | 0.997108i | \(-0.475788\pi\) | ||||
0.0759921 | + | 0.997108i | \(0.475788\pi\) | |||||||
\(44\) | −7.64592 | −1.15267 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.64434 | 0.537328 | ||||||||
\(47\) | −9.47579 | −1.38219 | −0.691093 | − | 0.722766i | \(-0.742871\pi\) | ||||
−0.691093 | + | 0.722766i | \(0.742871\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.99059 | 0.281512 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.27144 | 0.592342 | ||||||||
\(53\) | −0.820458 | −0.112699 | −0.0563493 | − | 0.998411i | \(-0.517946\pi\) | ||||
−0.0563493 | + | 0.998411i | \(0.517946\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.02604 | 0.947392 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.56570 | −0.599506 | ||||||||
\(59\) | −6.58407 | −0.857173 | −0.428586 | − | 0.903501i | \(-0.640988\pi\) | ||||
−0.428586 | + | 0.903501i | \(0.640988\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0752645 | −0.00963663 | −0.00481831 | − | 0.999988i | \(-0.501534\pi\) | ||||
−0.00481831 | + | 0.999988i | \(0.501534\pi\) | |||||||
\(62\) | 1.67974 | 0.213328 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.855913 | 0.106989 | ||||||||
\(65\) | −3.92514 | −0.486854 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.5877 | −1.53783 | −0.768916 | − | 0.639350i | \(-0.779204\pi\) | ||||
−0.768916 | + | 0.639350i | \(0.779204\pi\) | |||||||
\(68\) | 1.73623 | 0.210549 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.0804951 | −0.00955301 | −0.00477651 | − | 0.999989i | \(-0.501520\pi\) | ||||
−0.00477651 | + | 0.999989i | \(0.501520\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.6910 | 1.25129 | 0.625644 | − | 0.780109i | \(-0.284836\pi\) | ||||
0.625644 | + | 0.780109i | \(0.284836\pi\) | |||||||
\(74\) | 0.951587 | 0.110620 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.22595 | 0.714165 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.84491 | −0.207569 | −0.103785 | − | 0.994600i | \(-0.533095\pi\) | ||||
−0.103785 | + | 0.994600i | \(0.533095\pi\) | |||||||
\(80\) | 2.14572 | 0.239899 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.166758 | 0.0184153 | ||||||||
\(83\) | 14.4717 | 1.58847 | 0.794236 | − | 0.607610i | \(-0.207872\pi\) | ||||
0.794236 | + | 0.607610i | \(0.207872\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.59547 | −0.173053 | ||||||||
\(86\) | −0.668072 | −0.0720400 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.7358 | 1.25104 | ||||||||
\(89\) | −13.5258 | −1.43374 | −0.716868 | − | 0.697209i | \(-0.754425\pi\) | ||||
−0.716868 | + | 0.697209i | \(0.754425\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 8.43030 | 0.878920 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.35193 | 0.655152 | ||||||||
\(95\) | −5.72119 | −0.586982 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.40319 | 0.548611 | 0.274306 | − | 0.961643i | \(-0.411552\pi\) | ||||
0.274306 | + | 0.961643i | \(0.411552\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.60475 | 0.460475 | ||||||||
\(101\) | −5.13540 | −0.510991 | −0.255496 | − | 0.966810i | \(-0.582239\pi\) | ||||
−0.255496 | + | 0.966810i | \(0.582239\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.2112 | 1.40027 | 0.700137 | − | 0.714009i | \(-0.253122\pi\) | ||||
0.700137 | + | 0.714009i | \(0.253122\pi\) | |||||||
\(104\) | −6.55629 | −0.642897 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.549980 | 0.0534188 | ||||||||
\(107\) | 7.66030 | 0.740549 | 0.370274 | − | 0.928922i | \(-0.379264\pi\) | ||||
0.370274 | + | 0.928922i | \(0.379264\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.69879 | 0.162714 | 0.0813572 | − | 0.996685i | \(-0.474075\pi\) | ||||
0.0813572 | + | 0.996685i | \(0.474075\pi\) | |||||||
\(110\) | −4.70979 | −0.449061 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.600703 | −0.0565093 | −0.0282547 | − | 0.999601i | \(-0.508995\pi\) | ||||
−0.0282547 | + | 0.999601i | \(0.508995\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.74683 | −0.722395 | ||||||||
\(116\) | −10.5617 | −0.980625 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.41352 | 0.406297 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.3125 | 1.21023 | ||||||||
\(122\) | 0.0504522 | 0.00456773 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.88569 | 0.348945 | ||||||||
\(125\) | −11.3561 | −1.01572 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.25977 | 0.644200 | 0.322100 | − | 0.946706i | \(-0.395611\pi\) | ||||
0.322100 | + | 0.946706i | \(0.395611\pi\) | |||||||
\(128\) | 10.9656 | 0.969227 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.63115 | 0.230767 | ||||||||
\(131\) | −20.4530 | −1.78698 | −0.893492 | − | 0.449079i | \(-0.851752\pi\) | ||||
−0.893492 | + | 0.449079i | \(0.851752\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 8.43794 | 0.728927 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.66497 | −0.228519 | ||||||||
\(137\) | −12.2116 | −1.04331 | −0.521655 | − | 0.853157i | \(-0.674685\pi\) | ||||
−0.521655 | + | 0.853157i | \(0.674685\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.48183 | −0.210506 | −0.105253 | − | 0.994445i | \(-0.533565\pi\) | ||||
−0.105253 | + | 0.994445i | \(0.533565\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0539585 | 0.00452810 | ||||||||
\(143\) | −13.5823 | −1.13581 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.70538 | 0.805988 | ||||||||
\(146\) | −7.16654 | −0.593107 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.20127 | 0.180943 | ||||||||
\(149\) | 8.55593 | 0.700929 | 0.350465 | − | 0.936576i | \(-0.386024\pi\) | ||||
0.350465 | + | 0.936576i | \(0.386024\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.6592 | −1.43709 | −0.718544 | − | 0.695482i | \(-0.755191\pi\) | ||||
−0.718544 | + | 0.695482i | \(0.755191\pi\) | |||||||
\(152\) | −9.55629 | −0.775117 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.57066 | −0.286802 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.32149 | −0.504510 | −0.252255 | − | 0.967661i | \(-0.581172\pi\) | ||||
−0.252255 | + | 0.967661i | \(0.581172\pi\) | |||||||
\(158\) | 1.23671 | 0.0983871 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.22139 | −0.649958 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.02267 | 0.628384 | 0.314192 | − | 0.949359i | \(-0.398266\pi\) | ||||
0.314192 | + | 0.949359i | \(0.398266\pi\) | |||||||
\(164\) | 0.385754 | 0.0301223 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.70083 | −0.752930 | ||||||||
\(167\) | −2.12076 | −0.164109 | −0.0820545 | − | 0.996628i | \(-0.526148\pi\) | ||||
−0.0820545 | + | 0.996628i | \(0.526148\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.41215 | −0.416319 | ||||||||
\(170\) | 1.06950 | 0.0820267 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.54542 | −0.117837 | ||||||||
\(173\) | −18.2881 | −1.39042 | −0.695208 | − | 0.718808i | \(-0.744688\pi\) | ||||
−0.695208 | + | 0.718808i | \(0.744688\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.42494 | 0.559676 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.06681 | 0.679586 | ||||||||
\(179\) | 7.62551 | 0.569958 | 0.284979 | − | 0.958534i | \(-0.408013\pi\) | ||||
0.284979 | + | 0.958534i | \(0.408013\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.5305 | −1.15438 | −0.577188 | − | 0.816611i | \(-0.695850\pi\) | ||||
−0.577188 | + | 0.816611i | \(0.695850\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.9398 | −0.953933 | ||||||||
\(185\) | −2.02280 | −0.148719 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.52088 | −0.403727 | ||||||||
\(188\) | 14.6937 | 1.07165 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.83510 | 0.278227 | ||||||||
\(191\) | −14.8325 | −1.07324 | −0.536620 | − | 0.843824i | \(-0.680299\pi\) | ||||
−0.536620 | + | 0.843824i | \(0.680299\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.5677 | 1.19257 | 0.596286 | − | 0.802772i | \(-0.296642\pi\) | ||||
0.596286 | + | 0.802772i | \(0.296642\pi\) | |||||||
\(194\) | −3.62194 | −0.260040 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.03740 | 0.287653 | 0.143826 | − | 0.989603i | \(-0.454059\pi\) | ||||
0.143826 | + | 0.989603i | \(0.454059\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −25.2814 | −1.79215 | −0.896076 | − | 0.443901i | \(-0.853594\pi\) | ||||
−0.896076 | + | 0.443901i | \(0.853594\pi\) | |||||||
\(200\) | −7.06789 | −0.499775 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.44243 | 0.242208 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.354480 | −0.0247579 | ||||||||
\(206\) | −9.52625 | −0.663725 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.14798 | −0.287611 | ||||||||
\(209\) | −19.7973 | −1.36941 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.52493 | 0.518037 | 0.259019 | − | 0.965872i | \(-0.416601\pi\) | ||||
0.259019 | + | 0.965872i | \(0.416601\pi\) | |||||||
\(212\) | 1.27225 | 0.0873782 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.13495 | −0.351018 | ||||||||
\(215\) | 1.42013 | 0.0968521 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1.13875 | −0.0771261 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.8950 | −0.734538 | ||||||||
\(221\) | 3.08427 | 0.207471 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.9846 | 0.869513 | 0.434757 | − | 0.900548i | \(-0.356834\pi\) | ||||
0.434757 | + | 0.900548i | \(0.356834\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.402671 | 0.0267852 | ||||||||
\(227\) | −28.9665 | −1.92257 | −0.961286 | − | 0.275551i | \(-0.911140\pi\) | ||||
−0.961286 | + | 0.275551i | \(0.911140\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.4358 | −1.02003 | −0.510013 | − | 0.860167i | \(-0.670360\pi\) | ||||
−0.510013 | + | 0.860167i | \(0.670360\pi\) | |||||||
\(230\) | 5.19295 | 0.342413 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 16.2112 | 1.06432 | ||||||||
\(233\) | −4.94648 | −0.324055 | −0.162027 | − | 0.986786i | \(-0.551803\pi\) | ||||
−0.162027 | + | 0.986786i | \(0.551803\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.5024 | −0.880800 | ||||||||
\(236\) | 10.2096 | 0.664589 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 13.0346 | 0.843141 | 0.421571 | − | 0.906796i | \(-0.361479\pi\) | ||||
0.421571 | + | 0.906796i | \(0.361479\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.5825 | −0.939339 | −0.469670 | − | 0.882842i | \(-0.655627\pi\) | ||||
−0.469670 | + | 0.882842i | \(0.655627\pi\) | |||||||
\(242\) | −8.92382 | −0.573645 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.116709 | 0.00747154 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.0599 | 0.703722 | ||||||||
\(248\) | −5.96419 | −0.378726 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.61238 | 0.481449 | ||||||||
\(251\) | −14.0715 | −0.888187 | −0.444094 | − | 0.895980i | \(-0.646474\pi\) | ||||
−0.444094 | + | 0.895980i | \(0.646474\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −26.8067 | −1.68532 | ||||||||
\(254\) | −4.86646 | −0.305349 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.06240 | −0.566400 | ||||||||
\(257\) | −8.36215 | −0.521617 | −0.260808 | − | 0.965391i | \(-0.583989\pi\) | ||||
−0.260808 | + | 0.965391i | \(0.583989\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.08653 | 0.377471 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.7103 | 0.847025 | ||||||||
\(263\) | −3.27066 | −0.201678 | −0.100839 | − | 0.994903i | \(-0.532153\pi\) | ||||
−0.100839 | + | 0.994903i | \(0.532153\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.16910 | −0.0718173 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 19.5192 | 1.19232 | ||||||||
\(269\) | 15.3870 | 0.938161 | 0.469081 | − | 0.883155i | \(-0.344585\pi\) | ||||
0.469081 | + | 0.883155i | \(0.344585\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.12617 | 0.493630 | 0.246815 | − | 0.969063i | \(-0.420616\pi\) | ||||
0.246815 | + | 0.969063i | \(0.420616\pi\) | |||||||
\(272\) | −1.68605 | −0.102232 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.18585 | 0.494525 | ||||||||
\(275\) | −14.6422 | −0.882958 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.8457 | 0.771826 | 0.385913 | − | 0.922535i | \(-0.373887\pi\) | ||||
0.385913 | + | 0.922535i | \(0.373887\pi\) | |||||||
\(278\) | 1.66365 | 0.0997793 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.44816 | −0.0863901 | −0.0431951 | − | 0.999067i | \(-0.513754\pi\) | ||||
−0.0431951 | + | 0.999067i | \(0.513754\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.4385 | 1.03661 | 0.518306 | − | 0.855195i | \(-0.326563\pi\) | ||||
0.518306 | + | 0.855195i | \(0.326563\pi\) | |||||||
\(284\) | 0.124820 | 0.00740671 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.10468 | 0.538371 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.7463 | −0.926254 | ||||||||
\(290\) | −6.50584 | −0.382036 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.5781 | −0.970158 | ||||||||
\(293\) | 1.80010 | 0.105163 | 0.0525814 | − | 0.998617i | \(-0.483255\pi\) | ||||
0.0525814 | + | 0.998617i | \(0.483255\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.38189 | −0.546235 | ||||||||
\(296\) | −3.37875 | −0.196386 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.73532 | −0.332238 | ||||||||
\(299\) | 14.9757 | 0.866068 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 11.8376 | 0.681175 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.04600 | −0.346762 | ||||||||
\(305\) | −0.107247 | −0.00614095 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.06478 | −0.0607699 | −0.0303850 | − | 0.999538i | \(-0.509673\pi\) | ||||
−0.0303850 | + | 0.999538i | \(0.509673\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.39353 | 0.135943 | ||||||||
\(311\) | −16.9293 | −0.959970 | −0.479985 | − | 0.877277i | \(-0.659358\pi\) | ||||
−0.479985 | + | 0.877277i | \(0.659358\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.27856 | 0.467932 | 0.233966 | − | 0.972245i | \(-0.424830\pi\) | ||||
0.233966 | + | 0.972245i | \(0.424830\pi\) | |||||||
\(314\) | 4.23750 | 0.239136 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.86082 | 0.160934 | ||||||||
\(317\) | −6.54741 | −0.367739 | −0.183870 | − | 0.982951i | \(-0.558862\pi\) | ||||
−0.183870 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 33.5840 | 1.88034 | ||||||||
\(320\) | 1.21962 | 0.0681790 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.49556 | 0.250140 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.17995 | 0.453742 | ||||||||
\(326\) | −5.37786 | −0.297852 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.592099 | −0.0326932 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.7258 | −1.46899 | −0.734493 | − | 0.678617i | \(-0.762580\pi\) | ||||
−0.734493 | + | 0.678617i | \(0.762580\pi\) | |||||||
\(332\) | −22.4405 | −1.23158 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.42161 | 0.0777872 | ||||||||
\(335\) | −17.9367 | −0.979985 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.52328 | 0.518766 | 0.259383 | − | 0.965775i | \(-0.416481\pi\) | ||||
0.259383 | + | 0.965775i | \(0.416481\pi\) | |||||||
\(338\) | 3.62794 | 0.197334 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.47403 | 0.134173 | ||||||||
\(341\) | −12.3557 | −0.669099 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.37209 | 0.127895 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.2591 | 0.659053 | ||||||||
\(347\) | 18.7031 | 1.00404 | 0.502018 | − | 0.864857i | \(-0.332591\pi\) | ||||
0.502018 | + | 0.864857i | \(0.332591\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −30.1084 | −1.61167 | −0.805834 | − | 0.592142i | \(-0.798282\pi\) | ||||
−0.805834 | + | 0.592142i | \(0.798282\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −28.4488 | −1.51633 | ||||||||
\(353\) | 6.25933 | 0.333150 | 0.166575 | − | 0.986029i | \(-0.446729\pi\) | ||||
0.166575 | + | 0.986029i | \(0.446729\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.114700 | −0.00608767 | ||||||||
\(356\) | 20.9739 | 1.11161 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.11163 | −0.270158 | ||||||||
\(359\) | −10.1951 | −0.538077 | −0.269038 | − | 0.963129i | \(-0.586706\pi\) | ||||
−0.269038 | + | 0.963129i | \(0.586706\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.87941 | −0.151548 | ||||||||
\(362\) | 10.4106 | 0.547171 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 15.2340 | 0.797385 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 28.6557 | 1.49581 | 0.747906 | − | 0.663804i | \(-0.231059\pi\) | ||||
0.747906 | + | 0.663804i | \(0.231059\pi\) | |||||||
\(368\) | −8.18664 | −0.426758 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.35595 | 0.0704926 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.0734 | −0.832249 | −0.416124 | − | 0.909308i | \(-0.636612\pi\) | ||||
−0.416124 | + | 0.909308i | \(0.636612\pi\) | |||||||
\(374\) | 3.70083 | 0.191365 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −22.5535 | −1.16311 | ||||||||
\(377\) | −18.7619 | −0.966286 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.01893 | −0.0523388 | −0.0261694 | − | 0.999658i | \(-0.508331\pi\) | ||||
−0.0261694 | + | 0.999658i | \(0.508331\pi\) | |||||||
\(380\) | 8.87158 | 0.455103 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.94270 | 0.508713 | ||||||||
\(383\) | −11.5865 | −0.592044 | −0.296022 | − | 0.955181i | \(-0.595660\pi\) | ||||
−0.296022 | + | 0.955181i | \(0.595660\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −11.1059 | −0.565275 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.37848 | −0.425353 | ||||||||
\(389\) | −17.8135 | −0.903181 | −0.451590 | − | 0.892225i | \(-0.649143\pi\) | ||||
−0.451590 | + | 0.892225i | \(0.649143\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.08726 | 0.307846 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.70640 | −0.136346 | ||||||||
\(395\) | −2.62889 | −0.132274 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.0846 | −0.656696 | −0.328348 | − | 0.944557i | \(-0.606492\pi\) | ||||
−0.328348 | + | 0.944557i | \(0.606492\pi\) | |||||||
\(398\) | 16.9470 | 0.849474 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.47166 | −0.223583 | ||||||||
\(401\) | −14.1033 | −0.704285 | −0.352143 | − | 0.935946i | \(-0.614547\pi\) | ||||
−0.352143 | + | 0.935946i | \(0.614547\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.90259 | 0.343842 | ||||||||
\(404\) | 7.96323 | 0.396185 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.99960 | −0.346957 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.64599 | 0.130836 | 0.0654179 | − | 0.997858i | \(-0.479162\pi\) | ||||
0.0654179 | + | 0.997858i | \(0.479162\pi\) | |||||||
\(410\) | 0.237619 | 0.0117352 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −22.0367 | −1.08567 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.6212 | 1.01226 | ||||||||
\(416\) | 15.8931 | 0.779224 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.2708 | 0.649094 | ||||||||
\(419\) | −33.5134 | −1.63724 | −0.818619 | − | 0.574337i | \(-0.805260\pi\) | ||||
−0.818619 | + | 0.574337i | \(0.805260\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.83901 | 0.235839 | 0.117919 | − | 0.993023i | \(-0.462378\pi\) | ||||
0.117919 | + | 0.993023i | \(0.462378\pi\) | |||||||
\(422\) | −5.04421 | −0.245548 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.95279 | −0.0948358 | ||||||||
\(425\) | 3.32495 | 0.161284 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −11.8785 | −0.574167 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.951960 | −0.0459076 | ||||||||
\(431\) | 35.3285 | 1.70172 | 0.850858 | − | 0.525396i | \(-0.176083\pi\) | ||||
0.850858 | + | 0.525396i | \(0.176083\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.47404 | −0.263066 | −0.131533 | − | 0.991312i | \(-0.541990\pi\) | ||||
−0.131533 | + | 0.991312i | \(0.541990\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.63423 | −0.126157 | ||||||||
\(437\) | 21.8282 | 1.04419 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.39812 | −0.305365 | −0.152683 | − | 0.988275i | \(-0.548791\pi\) | ||||
−0.152683 | + | 0.988275i | \(0.548791\pi\) | |||||||
\(440\) | 16.7228 | 0.797229 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.06749 | −0.0983404 | ||||||||
\(443\) | 6.38682 | 0.303447 | 0.151723 | − | 0.988423i | \(-0.451518\pi\) | ||||
0.151723 | + | 0.988423i | \(0.451518\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.2735 | −0.913650 | ||||||||
\(446\) | −8.70400 | −0.412146 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.7460 | 0.554327 | 0.277163 | − | 0.960823i | \(-0.410606\pi\) | ||||
0.277163 | + | 0.960823i | \(0.410606\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.22662 | −0.0577593 | ||||||||
\(452\) | 0.931482 | 0.0438132 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 19.4172 | 0.911293 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.5224 | 0.492217 | 0.246108 | − | 0.969242i | \(-0.420848\pi\) | ||||
0.246108 | + | 0.969242i | \(0.420848\pi\) | |||||||
\(458\) | 10.3471 | 0.483489 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.0127 | 0.560093 | ||||||||
\(461\) | 7.08555 | 0.330007 | 0.165004 | − | 0.986293i | \(-0.447236\pi\) | ||||
0.165004 | + | 0.986293i | \(0.447236\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −32.7521 | −1.52212 | −0.761059 | − | 0.648683i | \(-0.775320\pi\) | ||||
−0.761059 | + | 0.648683i | \(0.775320\pi\) | |||||||
\(464\) | 10.2564 | 0.476141 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.31579 | 0.153601 | ||||||||
\(467\) | −3.92431 | −0.181596 | −0.0907978 | − | 0.995869i | \(-0.528942\pi\) | ||||
−0.0907978 | + | 0.995869i | \(0.528942\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.05111 | 0.417497 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −15.6709 | −0.721310 | ||||||||
\(473\) | 4.91414 | 0.225952 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.9229 | 0.547060 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.73755 | −0.399646 | ||||||||
\(479\) | 16.0865 | 0.735010 | 0.367505 | − | 0.930022i | \(-0.380212\pi\) | ||||
0.367505 | + | 0.930022i | \(0.380212\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.91036 | 0.178297 | ||||||||
\(482\) | 9.77510 | 0.445244 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −20.6431 | −0.938324 | ||||||||
\(485\) | 7.69921 | 0.349603 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.50344 | 0.158756 | 0.0793781 | − | 0.996845i | \(-0.474707\pi\) | ||||
0.0793781 | + | 0.996845i | \(0.474707\pi\) | |||||||
\(488\) | −0.179138 | −0.00810921 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −41.1093 | −1.85524 | −0.927618 | − | 0.373531i | \(-0.878147\pi\) | ||||
−0.927618 | + | 0.373531i | \(0.878147\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.62624 | −0.343468 | ||||||||
\(494\) | −7.41379 | −0.333562 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.77338 | −0.169430 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.8297 | 0.529571 | 0.264785 | − | 0.964307i | \(-0.414699\pi\) | ||||
0.264785 | + | 0.964307i | \(0.414699\pi\) | |||||||
\(500\) | 17.6094 | 0.787517 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.43261 | 0.420998 | ||||||||
\(503\) | 21.8595 | 0.974665 | 0.487332 | − | 0.873217i | \(-0.337970\pi\) | ||||
0.487332 | + | 0.873217i | \(0.337970\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.31762 | −0.325630 | ||||||||
\(506\) | 17.9694 | 0.798837 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.2574 | −0.499466 | ||||||||
\(509\) | 16.8966 | 0.748930 | 0.374465 | − | 0.927241i | \(-0.377826\pi\) | ||||
0.374465 | + | 0.927241i | \(0.377826\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −15.8563 | −0.700756 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.60542 | 0.247245 | ||||||||
\(515\) | 20.2501 | 0.892326 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −46.7230 | −2.05487 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.34230 | −0.409687 | ||||||||
\(521\) | 34.4932 | 1.51117 | 0.755587 | − | 0.655048i | \(-0.227352\pi\) | ||||
0.755587 | + | 0.655048i | \(0.227352\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.99123 | 0.0870704 | 0.0435352 | − | 0.999052i | \(-0.486138\pi\) | ||||
0.0435352 | + | 0.999052i | \(0.486138\pi\) | |||||||
\(524\) | 31.7155 | 1.38550 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.19243 | 0.0955945 | ||||||||
\(527\) | 2.80573 | 0.122220 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.55673 | 0.285075 | ||||||||
\(530\) | 0.783687 | 0.0340412 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.685259 | 0.0296819 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.9154 | 0.471916 | ||||||||
\(536\) | −29.9602 | −1.29408 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.3144 | −0.444685 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.1363 | 1.29566 | 0.647830 | − | 0.761785i | \(-0.275677\pi\) | ||||
0.647830 | + | 0.761785i | \(0.275677\pi\) | |||||||
\(542\) | −5.44724 | −0.233979 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.46015 | 0.276977 | ||||||||
\(545\) | 2.42067 | 0.103690 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.3614 | −0.656806 | −0.328403 | − | 0.944538i | \(-0.606510\pi\) | ||||
−0.328403 | + | 0.944538i | \(0.606510\pi\) | |||||||
\(548\) | 18.9360 | 0.808906 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.81514 | 0.418519 | ||||||||
\(551\) | −27.3469 | −1.16502 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −8.61092 | −0.365843 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.84846 | 0.163211 | ||||||||
\(557\) | −23.2823 | −0.986504 | −0.493252 | − | 0.869886i | \(-0.664192\pi\) | ||||
−0.493252 | + | 0.869886i | \(0.664192\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.74531 | −0.116114 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.970751 | 0.0409487 | ||||||||
\(563\) | 4.55885 | 0.192133 | 0.0960663 | − | 0.995375i | \(-0.469374\pi\) | ||||
0.0960663 | + | 0.995375i | \(0.469374\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.855964 | −0.0360107 | ||||||||
\(566\) | −11.6896 | −0.491351 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.191588 | −0.00803885 | ||||||||
\(569\) | −18.1995 | −0.762963 | −0.381482 | − | 0.924376i | \(-0.624586\pi\) | ||||
−0.381482 | + | 0.924376i | \(0.624586\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.0455 | −0.713332 | −0.356666 | − | 0.934232i | \(-0.616087\pi\) | ||||
−0.356666 | + | 0.934232i | \(0.616087\pi\) | |||||||
\(572\) | 21.0615 | 0.880625 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.1443 | 0.673264 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.4095 | −0.474982 | −0.237491 | − | 0.971390i | \(-0.576325\pi\) | ||||
−0.237491 | + | 0.971390i | \(0.576325\pi\) | |||||||
\(578\) | 10.5553 | 0.439041 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.0497 | −0.624904 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.04549 | −0.167547 | ||||||||
\(584\) | 25.4459 | 1.05296 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.20666 | −0.0498468 | ||||||||
\(587\) | −5.05089 | −0.208473 | −0.104236 | − | 0.994553i | \(-0.533240\pi\) | ||||
−0.104236 | + | 0.994553i | \(0.533240\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0610 | 0.414558 | ||||||||
\(590\) | 6.28899 | 0.258913 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.13765 | −0.0878567 | ||||||||
\(593\) | 19.9778 | 0.820391 | 0.410196 | − | 0.911998i | \(-0.365460\pi\) | ||||
0.410196 | + | 0.911998i | \(0.365460\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −13.2673 | −0.543449 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.0387 | −0.410513 | ||||||||
\(599\) | −4.39321 | −0.179502 | −0.0897508 | − | 0.995964i | \(-0.528607\pi\) | ||||
−0.0897508 | + | 0.995964i | \(0.528607\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.3556 | 0.993487 | 0.496743 | − | 0.867897i | \(-0.334529\pi\) | ||||
0.496743 | + | 0.867897i | \(0.334529\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.3834 | 1.11421 | ||||||||
\(605\) | 18.9695 | 0.771221 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.1256 | −0.532752 | −0.266376 | − | 0.963869i | \(-0.585826\pi\) | ||||
−0.266376 | + | 0.963869i | \(0.585826\pi\) | |||||||
\(608\) | 23.1654 | 0.939481 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0718913 | 0.00291079 | ||||||||
\(611\) | 26.1021 | 1.05598 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 46.4806 | 1.87733 | 0.938667 | − | 0.344825i | \(-0.112062\pi\) | ||||
0.938667 | + | 0.344825i | \(0.112062\pi\) | |||||||
\(614\) | 0.713754 | 0.0288048 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.3897 | 1.14293 | 0.571463 | − | 0.820628i | \(-0.306376\pi\) | ||||
0.571463 | + | 0.820628i | \(0.306376\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.9212 | −1.28302 | −0.641511 | − | 0.767114i | \(-0.721692\pi\) | ||||
−0.641511 | + | 0.767114i | \(0.721692\pi\) | |||||||
\(620\) | 5.53686 | 0.222366 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.3482 | 0.455023 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.33399 | −0.0533594 | ||||||||
\(626\) | −5.54939 | −0.221798 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.80244 | 0.391160 | ||||||||
\(629\) | 1.58947 | 0.0633762 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.7184 | 1.54135 | 0.770677 | − | 0.637226i | \(-0.219918\pi\) | ||||
0.770677 | + | 0.637226i | \(0.219918\pi\) | |||||||
\(632\) | −4.39112 | −0.174669 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.38895 | 0.174307 | ||||||||
\(635\) | 10.3447 | 0.410517 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −22.5124 | −0.891276 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 15.6252 | 0.617641 | ||||||||
\(641\) | 40.4001 | 1.59571 | 0.797854 | − | 0.602851i | \(-0.205968\pi\) | ||||
0.797854 | + | 0.602851i | \(0.205968\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.5471 | 0.494809 | 0.247405 | − | 0.968912i | \(-0.420422\pi\) | ||||
0.247405 | + | 0.968912i | \(0.420422\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.01352 | −0.118565 | ||||||||
\(647\) | −34.5548 | −1.35849 | −0.679245 | − | 0.733912i | \(-0.737692\pi\) | ||||
−0.679245 | + | 0.733912i | \(0.737692\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −32.4646 | −1.27435 | ||||||||
\(650\) | −5.48329 | −0.215072 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.4404 | −0.487203 | ||||||||
\(653\) | 22.2944 | 0.872446 | 0.436223 | − | 0.899839i | \(-0.356316\pi\) | ||||
0.436223 | + | 0.899839i | \(0.356316\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −29.1442 | −1.13876 | ||||||||
\(656\) | −0.374605 | −0.0146259 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.14986 | 0.278519 | 0.139259 | − | 0.990256i | \(-0.455528\pi\) | ||||
0.139259 | + | 0.990256i | \(0.455528\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −42.9060 | −1.66885 | −0.834425 | − | 0.551122i | \(-0.814200\pi\) | ||||
−0.834425 | + | 0.551122i | \(0.814200\pi\) | |||||||
\(662\) | 17.9152 | 0.696294 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 34.4443 | 1.33670 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −37.0293 | −1.43378 | ||||||||
\(668\) | 3.28856 | 0.127238 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.0235 | 0.464510 | ||||||||
\(671\) | −0.371112 | −0.0143266 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 37.6541 | 1.45146 | 0.725729 | − | 0.687980i | \(-0.241503\pi\) | ||||
0.725729 | + | 0.687980i | \(0.241503\pi\) | |||||||
\(674\) | −6.38376 | −0.245893 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.39238 | 0.322784 | ||||||||
\(677\) | −26.3616 | −1.01316 | −0.506580 | − | 0.862193i | \(-0.669090\pi\) | ||||
−0.506580 | + | 0.862193i | \(0.669090\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.79741 | −0.145624 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.28244 | 0.317151 | ||||||||
\(683\) | 3.93175 | 0.150444 | 0.0752222 | − | 0.997167i | \(-0.476033\pi\) | ||||
0.0752222 | + | 0.997167i | \(0.476033\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −17.4008 | −0.664850 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.50076 | 0.0572158 | ||||||||
\(689\) | 2.26004 | 0.0861006 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.9010 | −0.757072 | −0.378536 | − | 0.925587i | \(-0.623572\pi\) | ||||
−0.378536 | + | 0.925587i | \(0.623572\pi\) | |||||||
\(692\) | 28.3585 | 1.07803 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.5373 | −0.475910 | ||||||||
\(695\) | −3.53645 | −0.134145 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.278541 | 0.0105505 | ||||||||
\(698\) | 20.1827 | 0.763925 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −43.7908 | −1.65396 | −0.826979 | − | 0.562234i | \(-0.809942\pi\) | ||||
−0.826979 | + | 0.562234i | \(0.809942\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.69965 | 0.214966 | ||||||||
\(704\) | 4.22031 | 0.159059 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.19583 | −0.157912 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 44.6344 | 1.67628 | 0.838139 | − | 0.545457i | \(-0.183644\pi\) | ||||
0.838139 | + | 0.545457i | \(0.183644\pi\) | |||||||
\(710\) | 0.0768875 | 0.00288554 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −32.1931 | −1.20649 | ||||||||
\(713\) | 13.6233 | 0.510195 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.3540 | −0.723798 | ||||||||
\(716\) | −11.8245 | −0.441904 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.83411 | 0.255047 | ||||||||
\(719\) | 39.0192 | 1.45517 | 0.727586 | − | 0.686016i | \(-0.240642\pi\) | ||||
0.727586 | + | 0.686016i | \(0.240642\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 1.93016 | 0.0718332 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 24.0825 | 0.895019 | ||||||||
\(725\) | −20.2259 | −0.751171 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.5107 | −0.834877 | −0.417439 | − | 0.908705i | \(-0.637072\pi\) | ||||
−0.417439 | + | 0.908705i | \(0.637072\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −10.2119 | −0.377958 | ||||||||
\(731\) | −1.11590 | −0.0412731 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.897039 | 0.0331329 | 0.0165664 | − | 0.999863i | \(-0.494726\pi\) | ||||
0.0165664 | + | 0.999863i | \(0.494726\pi\) | |||||||
\(734\) | −19.2088 | −0.709011 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 31.3673 | 1.15622 | ||||||||
\(737\) | −62.0671 | −2.28627 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.58063 | −0.131716 | −0.0658578 | − | 0.997829i | \(-0.520978\pi\) | ||||
−0.0658578 | + | 0.997829i | \(0.520978\pi\) | |||||||
\(740\) | 3.13667 | 0.115306 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −49.5928 | −1.81938 | −0.909691 | − | 0.415286i | \(-0.863682\pi\) | ||||
−0.909691 | + | 0.415286i | \(0.863682\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.1917 | 0.446668 | ||||||||
\(746\) | 10.7745 | 0.394483 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.56098 | 0.313020 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −42.9030 | −1.56555 | −0.782776 | − | 0.622304i | \(-0.786197\pi\) | ||||
−0.782776 | + | 0.622304i | \(0.786197\pi\) | |||||||
\(752\) | −14.2690 | −0.520337 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12.5767 | 0.458016 | ||||||||
\(755\) | −25.1633 | −0.915786 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.8029 | 0.501677 | 0.250838 | − | 0.968029i | \(-0.419294\pi\) | ||||
0.250838 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(758\) | 0.683021 | 0.0248084 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −13.6171 | −0.493945 | ||||||||
\(761\) | 40.7197 | 1.47609 | 0.738044 | − | 0.674752i | \(-0.235749\pi\) | ||||
0.738044 | + | 0.674752i | \(0.235749\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 23.0001 | 0.832113 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.76683 | 0.280627 | ||||||||
\(767\) | 18.1365 | 0.654871 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.1476 | 0.401994 | 0.200997 | − | 0.979592i | \(-0.435582\pi\) | ||||
0.200997 | + | 0.979592i | \(0.435582\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −25.6908 | −0.924633 | ||||||||
\(773\) | 0.925662 | 0.0332937 | 0.0166469 | − | 0.999861i | \(-0.494701\pi\) | ||||
0.0166469 | + | 0.999861i | \(0.494701\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.44121 | 0.267296 | ||||||||
\(776\) | 12.8602 | 0.461656 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.9410 | 0.428105 | ||||||||
\(779\) | 0.998817 | 0.0357863 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.396903 | −0.0142023 | ||||||||
\(782\) | −4.08049 | −0.145918 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −9.00772 | −0.321499 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.0240 | −0.820716 | −0.410358 | − | 0.911925i | \(-0.634596\pi\) | ||||
−0.410358 | + | 0.911925i | \(0.634596\pi\) | |||||||
\(788\) | −6.26061 | −0.223025 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.76223 | 0.0626973 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.207324 | 0.00736228 | ||||||||
\(794\) | 8.77102 | 0.311272 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 39.2027 | 1.38950 | ||||||||
\(797\) | −22.7851 | −0.807089 | −0.403544 | − | 0.914960i | \(-0.632222\pi\) | ||||
−0.403544 | + | 0.914960i | \(0.632222\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.6098 | 0.375349 | ||||||||
\(800\) | 17.1333 | 0.605753 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.45390 | 0.333829 | ||||||||
\(803\) | 52.7150 | 1.86027 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.62703 | −0.162980 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.2229 | −0.429999 | ||||||||
\(809\) | 13.4751 | 0.473758 | 0.236879 | − | 0.971539i | \(-0.423876\pi\) | ||||
0.236879 | + | 0.971539i | \(0.423876\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.7348 | 1.07924 | 0.539622 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539622 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.69206 | 0.164457 | ||||||||
\(815\) | 11.4318 | 0.400439 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.00150 | −0.139995 | ||||||||
\(818\) | −1.77369 | −0.0620158 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.549675 | 0.0191955 | ||||||||
\(821\) | 16.9864 | 0.592829 | 0.296414 | − | 0.955059i | \(-0.404209\pi\) | ||||
0.296414 | + | 0.955059i | \(0.404209\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.5831 | −0.647768 | −0.323884 | − | 0.946097i | \(-0.604989\pi\) | ||||
−0.323884 | + | 0.946097i | \(0.604989\pi\) | |||||||
\(824\) | 33.8244 | 1.17833 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −14.5419 | −0.505670 | −0.252835 | − | 0.967509i | \(-0.581363\pi\) | ||||
−0.252835 | + | 0.967509i | \(0.581363\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.57433 | 0.332530 | 0.166265 | − | 0.986081i | \(-0.446829\pi\) | ||||
0.166265 | + | 0.986081i | \(0.446829\pi\) | |||||||
\(830\) | −13.8231 | −0.479806 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.35770 | −0.0817386 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.02195 | −0.104579 | ||||||||
\(836\) | 30.6987 | 1.06174 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 22.4651 | 0.776045 | ||||||||
\(839\) | −42.4606 | −1.46590 | −0.732952 | − | 0.680281i | \(-0.761858\pi\) | ||||
−0.732952 | + | 0.680281i | \(0.761858\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.3910 | 0.599690 | ||||||||
\(842\) | −3.24375 | −0.111787 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.6686 | −0.401648 | ||||||||
\(845\) | −7.71198 | −0.265300 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.23548 | −0.0424264 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.22882 | −0.0764479 | ||||||||
\(851\) | 7.71767 | 0.264558 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.2808 | 0.488965 | 0.244482 | − | 0.969654i | \(-0.421382\pi\) | ||||
0.244482 | + | 0.969654i | \(0.421382\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 18.2324 | 0.623171 | ||||||||
\(857\) | 34.7790 | 1.18803 | 0.594013 | − | 0.804455i | \(-0.297543\pi\) | ||||
0.594013 | + | 0.804455i | \(0.297543\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.6486 | 0.431564 | 0.215782 | − | 0.976442i | \(-0.430770\pi\) | ||||
0.215782 | + | 0.976442i | \(0.430770\pi\) | |||||||
\(860\) | −2.20213 | −0.0750921 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −23.6819 | −0.806608 | ||||||||
\(863\) | 26.4797 | 0.901379 | 0.450690 | − | 0.892681i | \(-0.351178\pi\) | ||||
0.450690 | + | 0.892681i | \(0.351178\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −26.0594 | −0.886045 | ||||||||
\(866\) | 3.66943 | 0.124692 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.09686 | −0.308590 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 34.6741 | 1.17489 | ||||||||
\(872\) | 4.04332 | 0.136924 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −14.6322 | −0.494941 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.4534 | 0.960805 | 0.480402 | − | 0.877048i | \(-0.340491\pi\) | ||||
0.480402 | + | 0.877048i | \(0.340491\pi\) | |||||||
\(878\) | 4.28887 | 0.144742 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.5801 | 0.356654 | ||||||||
\(881\) | −20.3637 | −0.686071 | −0.343036 | − | 0.939322i | \(-0.611455\pi\) | ||||
−0.343036 | + | 0.939322i | \(0.611455\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.1950 | 1.65554 | 0.827772 | − | 0.561065i | \(-0.189608\pi\) | ||||
0.827772 | + | 0.561065i | \(0.189608\pi\) | |||||||
\(884\) | −4.78264 | −0.160858 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.28129 | −0.143833 | ||||||||
\(887\) | −4.21692 | −0.141590 | −0.0707952 | − | 0.997491i | \(-0.522554\pi\) | ||||
−0.0707952 | + | 0.997491i | \(0.522554\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 12.9196 | 0.433067 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.1346 | −0.674157 | ||||||||
\(893\) | 38.0457 | 1.27315 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.8659 | 0.363206 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.87371 | −0.262749 | ||||||||
\(899\) | −17.0675 | −0.569233 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.918649 | 0.0306046 | ||||||||
\(902\) | 0.822244 | 0.0273777 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.42974 | −0.0475526 | ||||||||
\(905\) | −22.1301 | −0.735628 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 47.9851 | 1.59332 | 0.796659 | − | 0.604429i | \(-0.206599\pi\) | ||||
0.796659 | + | 0.604429i | \(0.206599\pi\) | |||||||
\(908\) | 44.9170 | 1.49062 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −25.7335 | −0.852587 | −0.426294 | − | 0.904585i | \(-0.640181\pi\) | ||||
−0.426294 | + | 0.904585i | \(0.640181\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 71.3565 | 2.36155 | ||||||||
\(914\) | −7.05351 | −0.233309 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 23.9356 | 0.790854 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.26957 | −0.0748661 | −0.0374330 | − | 0.999299i | \(-0.511918\pi\) | ||||
−0.0374330 | + | 0.999299i | \(0.511918\pi\) | |||||||
\(920\) | −18.4384 | −0.607895 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.74968 | −0.156422 | ||||||||
\(923\) | 0.221732 | 0.00729840 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.21550 | 0.138605 | ||||||||
\(926\) | 21.9548 | 0.721479 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −39.2976 | −1.29001 | ||||||||
\(929\) | 45.8496 | 1.50428 | 0.752138 | − | 0.659006i | \(-0.229023\pi\) | ||||
0.752138 | + | 0.659006i | \(0.229023\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.67028 | 0.251248 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.63060 | 0.0860757 | ||||||||
\(935\) | −7.86691 | −0.257275 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 56.2075 | 1.83622 | 0.918110 | − | 0.396325i | \(-0.129715\pi\) | ||||
0.918110 | + | 0.396325i | \(0.129715\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.9376 | 0.682908 | ||||||||
\(941\) | −35.2803 | −1.15011 | −0.575053 | − | 0.818116i | \(-0.695018\pi\) | ||||
−0.575053 | + | 0.818116i | \(0.695018\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.35246 | 0.0440421 | ||||||||
\(944\) | −9.91453 | −0.322691 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.29411 | −0.107101 | ||||||||
\(947\) | 50.7130 | 1.64795 | 0.823976 | − | 0.566625i | \(-0.191751\pi\) | ||||
0.823976 | + | 0.566625i | \(0.191751\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −29.4495 | −0.955972 | ||||||||
\(950\) | −7.99230 | −0.259305 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −25.9988 | −0.842184 | −0.421092 | − | 0.907018i | \(-0.638353\pi\) | ||||
−0.421092 | + | 0.907018i | \(0.638353\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −21.1354 | −0.683924 | ||||||||
\(956\) | −20.2122 | −0.653710 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.7833 | −0.348392 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.7208 | −0.797445 | ||||||||
\(962\) | −2.62125 | −0.0845123 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 22.6124 | 0.728295 | ||||||||
\(965\) | 23.6080 | 0.759968 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.9621 | 0.834885 | 0.417442 | − | 0.908703i | \(-0.362927\pi\) | ||||
0.417442 | + | 0.908703i | \(0.362927\pi\) | |||||||
\(968\) | 31.6854 | 1.01841 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.16103 | −0.165711 | ||||||||
\(971\) | 7.94412 | 0.254939 | 0.127469 | − | 0.991843i | \(-0.459315\pi\) | ||||
0.127469 | + | 0.991843i | \(0.459315\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −2.34847 | −0.0752499 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.113336 | −0.00362779 | ||||||||
\(977\) | 52.2548 | 1.67178 | 0.835889 | − | 0.548898i | \(-0.184952\pi\) | ||||
0.835889 | + | 0.548898i | \(0.184952\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −66.6929 | −2.13151 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 27.5569 | 0.879376 | ||||||||
\(983\) | −38.8379 | −1.23874 | −0.619369 | − | 0.785100i | \(-0.712611\pi\) | ||||
−0.619369 | + | 0.785100i | \(0.712611\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.75304 | 0.183307 | ||||||||
\(986\) | 5.11212 | 0.162803 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −17.1500 | −0.545615 | ||||||||
\(989\) | −5.41827 | −0.172291 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.9378 | 0.982771 | 0.491385 | − | 0.870942i | \(-0.336491\pi\) | ||||
0.491385 | + | 0.870942i | \(0.336491\pi\) | |||||||
\(992\) | 14.4578 | 0.459036 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −36.0244 | −1.14205 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −47.0670 | −1.49063 | −0.745313 | − | 0.666714i | \(-0.767700\pi\) | ||||
−0.745313 | + | 0.666714i | \(0.767700\pi\) | |||||||
\(998\) | −7.92985 | −0.251015 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))